Constructing regular self-similar solutions to the 3D Navier-Stokes equations originating at singular and arbitrary large initial data

Details Constructing regular self-similar solutions to the 3D Navier-Stokes equations originating at singular and arbitrary large initial data Constructing regular self-similar solutions to the 3D Navier-Stokes equations originating at singular and arbitrary large initial data

2003-10-10

arxiv.org/abs/math/0310155v1

Mathematics

Analysis of PDEs

Submitted to Comm. PDE

Scientific paper

Global-in-time smooth self-similar solutions to the 3D Navier-Stokes
equations are constructed emanating from homogeneous of degree -1 arbitrary
large initial data belonging only to the closure of the test functions in the
space of uniformly-locally square-integrable functions.

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